{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%reload_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set(context=\"notebook\", style=\"darkgrid\", palette=\"dark\")\n",
    "\n",
    "import sys\n",
    "sys.path.append('..')\n",
    "\n",
    "from helper import linear_regression as lr  # my own module\n",
    "from helper import general as general"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>square</th>\n",
       "      <th>bedrooms</th>\n",
       "      <th>price</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2104</td>\n",
       "      <td>3</td>\n",
       "      <td>399900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1600</td>\n",
       "      <td>3</td>\n",
       "      <td>329900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2400</td>\n",
       "      <td>3</td>\n",
       "      <td>369000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1416</td>\n",
       "      <td>2</td>\n",
       "      <td>232000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3000</td>\n",
       "      <td>4</td>\n",
       "      <td>539900</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   square  bedrooms   price\n",
       "0    2104         3  399900\n",
       "1    1600         3  329900\n",
       "2    2400         3  369000\n",
       "3    1416         2  232000\n",
       "4    3000         4  539900"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "raw_data = pd.read_csv('ex1data2.txt', names=['square', 'bedrooms', 'price'])\n",
    "raw_data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. normalize data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>square</th>\n",
       "      <th>bedrooms</th>\n",
       "      <th>price</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.130010</td>\n",
       "      <td>-0.223675</td>\n",
       "      <td>0.475747</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.504190</td>\n",
       "      <td>-0.223675</td>\n",
       "      <td>-0.084074</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.502476</td>\n",
       "      <td>-0.223675</td>\n",
       "      <td>0.228626</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.735723</td>\n",
       "      <td>-1.537767</td>\n",
       "      <td>-0.867025</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.257476</td>\n",
       "      <td>1.090417</td>\n",
       "      <td>1.595389</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     square  bedrooms     price\n",
       "0  0.130010 -0.223675  0.475747\n",
       "1 -0.504190 -0.223675 -0.084074\n",
       "2  0.502476 -0.223675  0.228626\n",
       "3 -0.735723 -1.537767 -0.867025\n",
       "4  1.257476  1.090417  1.595389"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = general.normalize_feature(raw_data)\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2. multi-var batch gradient decent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(47, 3) <class 'numpy.ndarray'>\n",
      "(47,) <class 'numpy.ndarray'>\n"
     ]
    }
   ],
   "source": [
    "X = general.get_X(data)\n",
    "print(X.shape, type(X))\n",
    "\n",
    "y = general.get_y(data)\n",
    "print(y.shape, type(y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "alpha = 0.01\n",
    "theta = np.zeros(X.shape[1])\n",
    "epoch = 500"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "final_theta, cost_data = lr.batch_gradient_decent(theta, X, y, epoch, alpha=alpha)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x118cc1b00>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ty83Nld/vl9frHdZ+06ZNuuqqqzRz5swh+9vb2+X3+5WXlxfbZ7fblZ2draamJqPXIGng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\nIgpo/wHjBr5g1ATUigAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106e39a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.tsplot(time=np.arange(len(cost_data)), data = cost_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ -1.22797753e-16,   8.30383883e-01,   8.23982853e-04])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "final_theta"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 3. learning rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  1.00000000e-05   3.00000000e-05   2.15443469e-04   6.46330407e-04\n",
      "   4.64158883e-03   1.39247665e-02   1.00000000e-01   3.00000000e-01]\n"
     ]
    }
   ],
   "source": [
    "base = np.logspace(-1, -5, num=4)\n",
    "candidate = np.sort(np.concatenate((base, base*3)))\n",
    "print(candidate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x118a79390>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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kepyjNUQjovWtiGgzGBGJA6A1XPk6dpIkyQGFtxBDftutj6XM6ghByl1CDmd/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\naL23vkHbikuUWVKmzJJSbS8pVWZJWbtAorx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Mi+ABMD+Chw7ixsc8\nVuas0Z2f/Fm7q3IkST42b/1uwm9089hr5eXhZXB16EoMbHqnkvI6bc4sVcb2Em3OLNXmzFLtyK6Q\n03nwX49+PjYNGfTjrIjUpEgNGRQpf1/PLqwcR4L+BsyL/gbMi/4GzIvgATA/gocO4sbHXBocjXpi\n7XN65tuX1OxsliQlRyTpsdP/prFxowyuDl2FgQ32q29o1rZd5dqcWaKM7aXKyCzRlh1lqq1rOug1\nFouUmBCq1KSfBBKDo2SP8GcJt26A/gbMi/4GzIv+BsyL4AEwP4KHDuLGx5y2le3Q75fP0fcFGyRJ\nFll0YcoM3TDmGqVEJRtcHTobAxv8EqfTpZz8vcrIbJsZsb1EGZmlyi+q+cXrQoJ8NKh/mAYnhiup\nf7iSEsM1ODFMsfZAAokuRH8D5kV/A+ZFfwPmRfAAmB/BQwdx42NeTpdTr6Ut1NyvH1V1449vKJ7Q\n53hdd9yVOmPgafKwehhYIToLAxt0ROXe+ralmkrdocT2rPJD/hvy9/N0BxFJ/cPc3yfEBrF/RCeg\nvwHzor8B86K/AfMieADMj+Chg7jxMb/i2hI98s1TWrRlqRocje7jfYLjdc3Iy3Tp8AsU4hNsYIU4\n1hjY4FhpbHIoc3dF634Ru8uVmVWu7VkVysmv0qF+6/p42zSwX+hPQonWGRL94kPk6Uno2VH0N2Be\n9DdgXvQ3YF4ED4D59ZjgoampSffdd58+/fRT+fj46JprrtHVV1/9i9esW7dOd911l1asWNHu+Jgx\nY1RXV6f9L91isWjDhg3y9fU97Hq48ek9yvdV6LX0tzXvh9dUWFvsPu7r6auLUs7VtcddoaTwgQZW\niGOFgQ06W31Ds3btqVRmVrkysyq0PatcO3aXKyu36pD/5jxtViUmhLpnSAxODNeg/uEa0DdUPt62\nLnoFPRf9DZgX/Q2YF/0NmBfBA2B+PSZ4mDt3rtavX6+HHnpIeXl5+uMf/6gHH3xQp59++s+ev337\ndl177bXy9vbWZ5995j5eXFysU045RStWrJCPj4/7eHh4+BHVw41P79Pc0qxlOz7VS+v/494DYr9T\n+p2o60ZfqVP7nySrhSVSeioGNjBKU3OLdudWtc2MaA0jtmdVaGd2hZqaW37xWqvVovjoQPVPCFVi\nnxAlJoS2/QlRQmwwsyTa0N+AedHfgHnR34B5ETwA5tcjgof6+nqNHz9eL7/8ssaMGSNJev7557Vm\nzRq9+uqrB5z/1ltv6ZFHHlFCQoJqamraBQ9r1qzRH//4R3399ddHVRM3Pr3b/7d353Fy1AX+/9/V\n9zH3kfs+SAJREkKCQY5dJCCogF88FjVkFYxfuXR1/SHHPiKyiwoIuAzL4xu+bDhdWaMuQoBA0C9L\nWEyYkBCQBHKRYyCTmWTumb7r90dV13TPTI4ZOplM5fV8POZRVZ+rPz3wyXT3u6tqw9639X/XPab/\n2rxCyUzSKZ9UPkFXnbZQfzfzf6koUDSIM8RA8MYGx5tUKqNdH7bkhRHv2/udsdRh+3u9hsaOLNWk\ncWVOGDFpbLkmjivX2JEl8vlOnKCU9Q24F+sbcC/WN+BeBA+A+w2J4GH9+vVauHChNmzYIJ/PupzE\n2rVrtXjxYm3YsKFX++uuu06XXXaZ2traVFNTkxc8PP7443rppZf6DCz6gxc+kKR97Q167K3f6JEN\nv1ZDZ6NTXhSI6opPfElXz16oCeXjB3GG6A/e2GCoyGRM1e1t0/s79uv9Hfu1fVeztu9q0o5dTaqr\nbzvsfSQk69JN40aXatJYK5CYmA0mxpVr9PBi193gmvUNuBfrG3Av1jfgXgQPgPsNiYtCNzQ0qKys\nzAkdJOvSSPF4XE1NTSovL89rX1NTI0n6wx/+0Gusbdu2qaurSwsXLtSOHTt08skn6+abb9aECROO\n6nOAOw0rqtY/fvp6XX/GYj3z3gt66M1HtWHv22pPdOihdY/q/657TAsm/62+PWeRzh43X4ZhDPaU\nAbiAx2No7KgSjR1Vos98emJeXSye0gd7rCBi+65m7djVpO27reOP9rU77ZKpjLbtbNK2nU29xg/4\nvRo/ujQnkCjXuFGlGj+6RGNGligYGBIvHwAAAAAAwCAZEp8cdHV1KRAI5JVljxOJRL/G2r59u1pb\nW/XDH/5Q0WhUDz30kP7+7/9ezz33nCKRSMHmjBNL0BfUl065VJeffIlqP1yvh958TM++94LSZlov\nbvuTXtz2J02rmqqrT7tSXzr5UkX8R34jcwDoj1DQp+mTqzR9clWvus6upHbsbtb23dbZEdkzJbbv\nbta+xg6nXSKZ1pYPDmjLBwd6jWEY0ojqIo0bVaqxo0o0bnSpxo8q1bjRpRo3qlSjhhe57mwJAAAA\nAADQP0MieAgGg70ChuxxONy/D3AffvhhpVIpp9/dd9+tc889V3/+85/1uc997ojH4UMVHMz88adr\n/vjTVdf6kZatf1KPrv+NDnQ16b3GLfrRi/+kf/nvu7Vw1ld19WkLNaZ01GBPFzmy65r1DbcqKQ7q\n1JOH69STh/eqa+tIaMeuJm3b1aTtO5u03d7fsatZDQc6nXamKX20r10f7WvXmg11vcbx+TwaM6JY\n40eXatzoMo0fXWrvl2r8mFJVV0QG5ewv1jfgXqxvwL1Y34B7sa4B9xsSwcPw4cPV3NysTCYjj8f6\nh6mxsVGhUEglJSX9Gsvv98vv9zvHgUBAY8aMUX19fb/GKSnhG+s4tPLyKfrl+CX658/9f/r1+j/o\nX1c/pLf3blJzrEX3/2Wp/m3tw/riKRfp+rOu1lkTzuAyTMcR1jdOROXlUY0bU65zz+xd19Ye1we7\nm7Vjd5N2ZLe7uo/bO7q/HJBKZfTBnhZ9sKdF0q5eY4VDPk0YW6aJY8s1MbsdV6YJY8o0dlSpqo5y\nMMH6BtyL9Q24F+sbAIChZ0gEDzNmzJDP59OGDRt02mmnSZJqa2s1c+bMfo+1YMECXXvttbrssssk\nSZ2dndq5c6cmTZrUr3FaW7uUTnNzKxyZ/zX1Un1xyiV6bdca/Z/aR/TClpeVzqS1/O1ntfztZzWx\nbJwuPmmBLj7pAs0dPVtej3ewp3xC8no9KikJs76BPowZUaQxI4p09tyxeeWmaepAc5d2fdiqnXUt\n2rWnWTvrWqz9uhbt+rBViWTaad8VS2nTlkZt2tLY5+OEgj6NHlGsMSOKNWpEib1vb0da26JIoM++\nh8L6BtyL9Q24F+sbcK/s+gbgXkMieAiFQrr00ku1ZMkS3XHHHaqvr9eyZcv085//XJJ19kNxcbGC\nweBhxzr33HP1r//6rxo1apTKy8v1q1/9SiNHjtS5557brzml0xmlUrzwQf98avQ8fWr0PO1s3q1l\n65/Uk2//p1rjbdrRvEsPrH1YD6x9WFWRSl045TO6eOoCnTVuvkK+w/9/jcJifQP9U1oc0iemhfSJ\nacN61WUypuob27WzrkW7P2zVrg+7A4lddS2qq29TJmM67WPx1EFvet39eEGNHlGi0cOLNXpksbW1\nj0eNKNbIYUUK+PsOcFnfgHuxvgH3Yn0DADD0GKZpmodvNvhisZhuu+02rVy5UsXFxbr66qu1cOFC\nSdL06dP185//3DmLIesPf/iDampq9PLLLztliURC9957r1asWKG2tjbNnz9fS5Ys0fDhva93fShN\nTR288MHH1pHo0LPvr9TzW1bp/33wqrpSsbz6qD+qz0w6VxdNPV/nT/oblQSLB2eiJwifz6Py8ijr\nGziGksm06urbVLe3TXv2turDvW3as7dNH9ZbP3v2tqqtPXH4gXIYhjSsMqoxI0o0akSxRg0v1rhR\nJTppcpWKIn4Nq4hqeHX0oOEEgKGFv9+Ae7G+AffKrm8A7jVkgofjDS98UGgdiU69svM1Pb/lJb24\n7U9qjrXk1fs9fp017lO6eOoCXTjlMxpe1Pubxfh4eGMDHJ9a2+KqywYRH7XagUR3MPFRfXve5ZyO\nVFV5WMOrizRyWJFGVHf/WMdRjRhWrMqysDwe7sEDHM/4+w24F+sbcC+CB8D9CB4GiBc+OJqS6aT+\nsqdWz299SS9sWaW6to/y6g0ZmjNqli6acr4uPukCTSqfMDgTdRne2ABDUyZjqrGpU3V72+yfVucs\nig/tMyn27e/QQF7x+H0eDa+K5gcUw4o0oqo7oBg5rFhF0f7fdwJAYfD3G3Av1jfgXgQPgPsRPAwQ\nL3xwrJimqY31f9VzW17U81tX6b3GLb3aTKucooumLtBFUxfo1OEzZRh8O3cgeGMDuFfGNBVPZrR5\nS4P27G1VfUO7PtrXrr0NHdq7r117G9r1UUO72jv6d1mnrGjEr5HDijSsMtr9UxVx9qurohpWEVFl\neUQ+n6fAzw44sfH3G3Av1jfgXgQPgPsRPAwQL3wwWLY3faDnt7yk57a8pNoP1/eqH1U8Qp+dskAX\nT12gT405XX6vfxBmOTTxxgZwryNd3+0dCe1tsIMIO5Cwfjr00b421Td0aG9Du5ID/DfCMKTK8mwg\nEdGwqvygoroiapdFVFYSIkgGjgB/vwH3Yn0D7kXwALgfwcMA8cIHx4P69n1aufVlPb91lV7d+bqS\nmWRefVmoVBdMPk+fnfIZnTn2DJWHywZppkMDb2wA9yrk+s5kTB1o6dJH+9pzzpxo19597Wo40Kl9\n+zu0r7FD+/Z3DujeE1l+nycnmLDCiurKqKoqwqoqt86eqKqIqLI8rIrSMGdS4ITF32/AvVjfgHsR\nPADuR/AwQLzwwfGmNd6ml7e/oue2vKSXt7+ijmRHrzbTqqbqjNFzdMbo0zVvzByNLRnNt2lz8MYG\ncK/BWN+maaqlLW6HEB1WKGHv79ufu9+hxgOdA7oHRZZhSBWlYVWWh1VVYQcSZWE7mIi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      "text/plain": [
       "<matplotlib.figure.Figure at 0x118aa8be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "epoch=50\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(16, 9))\n",
    "\n",
    "for alpha in candidate:\n",
    "    _, cost_data = lr.batch_gradient_decent(theta, X, y, epoch, alpha=alpha)\n",
    "    ax.plot(np.arange(epoch+1), cost_data, label=alpha)\n",
    "\n",
    "ax.set_xlabel('epoch', fontsize=18)\n",
    "ax.set_ylabel('cost', fontsize=18)\n",
    "ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
    "ax.set_title('learning rate', fontsize=18)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 4. normal equation\n",
    "> this is fancy, but I don't see how this could help for non-convex optimization... so skip this one"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda env:tf]",
   "language": "python",
   "name": "conda-env-tf-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
